Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition

Bruggeman, Roelof; Diamantis, Nikolaos

Authors

Roelof Bruggeman

Nikolaos Diamantispmznd@maths.nottingham.ac.uk

Abstract

The Fourier coefficient of a second order Eisenstein series is described as a shifted convolution sum. This description is used to obtain the spectral decomposition of and estimates for the shifted convolution sum.

Journal Article Type

Article

Publication Date

Oct 1, 2016

Journal

Journal of Number Theory

Print ISSN

0022-314X

Electronic ISSN

1096-1658

Publisher

Elsevier

Peer Reviewed

Peer Reviewed

Volume

167

APA6 Citation

Bruggeman, R., & Diamantis, N. (2016). Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition. Journal of Number Theory, 167, doi:10.1016/j.jnt.2016.03.009